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This article considers the dynamical behavior of a particular system of N coupled oscillators with nearest neighbor coupling, the coupling constant K is assumed to be positive, independent of N. It is demonstrated that when the system does not have equilibrium points, the global attractor of this system is a one-dimensional restricted horizontal curve, therefore any solution will be frequency locked...
This article considers the global dynamical behavior of a connected system of coupled nonlinear oscillators. It is demonstrated that if the average of the input frequencies is zero, any solution will tend to a static state; otherwise, there will a unique phase locked orbit which attracts any bounded set exponentially.
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